Squaring the Circle

A ‘squared circle’ is when a circle and square have equal area, or equal perimeter.

Does the Golden Ratio (phi) define the squaring of a circle. According to some, in ancient Egypt, this mystery was encoded in the mathematics of Giza.

It is well known that the value of pi (3.14) is encoded in the great Khufu pyramid, but when we run the numbers, we find a value for pi that is different to the value on your calculator. Most people think ‘obviously’ that the Egyptians where wrong, with many modern mathematicians claiming it is impossible to square the circle.

What is most interesting about the value encoded at Giza, is that it based on the Golden Ratio, which is the most beautiful number in all the mathematical universe.

Lets explore. If we use what we learnt from the mathematics of the Giza plateau, we get this ‘self referencing’ equation for pi.

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“The squaring of the circle is one of the many archetypal motifs which form the basic patterns of our dreams and fantasies. But it is distinguished by the fact that it is one of the most important of them from the functional point of view. Indeed, it could even be called the archetype of wholeness.” Carl Jung